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Did you ever see history portrayed as an old man with a wise brow and pulseless heart, weighing all things in the balance of reason?
Is not rather the genius of history like an eternal, imploring maiden, full of fire, with a burning heart and flaming soul, humanly warm and humanly beautiful?
--Zachris Topelius

Training a telescope on one’s own belly button will only reveal lint. You like that? You go right on staring at it. I prefer looking at galaxies.
-- Sarah Hoyt

possible has two finite states: it can or it cant/wont - as a measurement only and ever: 0% or 100%

probability though can be expressed as anything including and between 0% and 100%.

and being pedantic: probability is not ever less than 0% nor ever beyond 100%
- that would be yield which is altogether a different animal.

so true: the OP should have used "probability" (or some contextual synonym like "chance.")

after many otherwise intelligent sounding suggestions that achieved nothing the nice folks at Technet said the only solution was to low level format my hard disk then reinstall my signature. Sadly, this still didn't fix the issue!

Agreed. Also a possibility can't bei high. It either exists with a probability of that thing occurring being greater than zero and less than one. If it's impossible the probability ist exactly zero. If the probability is one then it is not a possibility but rather a certainty.

All of those examples treat possibility as a binary thing...it can be possible or not possible. None of them treat it as a gradient or scale, eg that a possibility can be "high". The reason for that is because possibility is not the word to use in this context, probability is.

It's still a binary construct though, and not a scale. Possibility of snow....there will be snow (1), there won't be snow (0). I will have to speak (1), I will not have to speak (0). Neither of those examples indicate a range. The probability of snow is high. The probability of snow is low. The probability of snow is 50-50. The probability of snow is almost certain. The probability of snow is highly unlikely.

I don't see why that matters.. you are just basically saying "there is a high chance it will be (1) rather than (0)". The fact you are including the likeliness of it happening does not change the fact it either will happen or won't happen (binary).

Both options are for an unknown outcome.
Possibility is for things that most likely will not happen
Probability is for things that most like will happen

The mathematical/statistical ideas attached to the word probability do not, in this case, apply as both have a probability (0 <=> 100%) but I do not believe I've ever heard possibility used in any sort of mathematical context with a specific meaning.

If anyone disagrees with the above, most likely the chances are they are wrong.